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type Set a = [a]bool;
function union<a>(x: Set a, y: Set a) : Set a;
axiom (forall<a> x: Set a, y: Set a, z: a :: (x[z] || y[z]) == union(x, y)[z]);
const intSet0: Set int;
axiom (forall x: int :: intSet0[x] == (x == 0 || x == 2 || x == 3));
const intSet1: Set int;
axiom (forall x: int :: intSet1[x] == (x == -5 || x == 3));
procedure P();
implementation P()
{
assert (forall x: int :: union(intSet0, intSet1)[x] == (x == -5 || x == 0 || x == 2 || x == 3));
}
type Set a = [a]bool;
function union<a>(x: Set a, y: Set a) : Set a;
axiom (forall<a> x: Set a, y: Set a, z: a :: x[z] || y[z] <==> union(x, y)[z]);
const intSet0: Set int;
axiom (forall x: int :: intSet0[x] <==> x == 0 || x == 2 || x == 3);
const intSet1: Set int;
axiom (forall x: int :: intSet1[x] <==> x == -5 || x == 3);
procedure P();
implementation P()
{
assert (forall x: int :: union(intSet0, intSet1)[x] <==> x == -5 || x == 0 || x == 2 || x == 3);
}
Boogie program verifier finished with 0 verified, 0 errors
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